Question

find the numbers whose difference is 14​

Answer 1

Answer:

Step-by-step explanation:

Those numbers can be 25, 11 ; 26,12  etc.

Answer 2

Answer:

Let the numbers be x and y

y+-+x+=+14

y+=+x+%2B+14

The product is x%2Ay

x%2Ay+=+x%2A%28x+%2B+14%29

x%2Ay+=+x%5E2+%2B+14x

The function f%28x%29+=+x%5E2+%2B+14x

Is a minimum when x+=+-b%2F%282a%29

a+=+1

b+=+14

x%5Bmin%5D+=+-14%2F2

x%5Bmin%5D+=+-7

y+=+x+%2B+14

y+=+-7+%2B+14

y+=+7

The numbers are 7 and -7

check:

The product is -49

If I change the numbers very slightly, what

happens to the product?

x+=+-6.9

y+=+x+%2B+14

y+=+-6.9+%2B+14

y+=+7.1

-6.9%2A7.1+=+-48.99

This gives me more confidence answer is right